:root{color-scheme:light;--paper:#fafbfd;--ink:#17243a;--blue:#244fbe;--blue-deep:#183b91;--muted:#5d6c80;--line:#dce4ef;--wash:#edf2fc;--body-font:"Microsoft YaHei UI", "PingFang SC", "Noto Sans CJK SC", sans-serif;--display-font:Georgia, "Songti SC", SimSun, serif}*{box-sizing:border-box}html{scroll-behavior:smooth;scroll-padding-top:30px}body{color:var(--ink);background:var(--paper);font:17px/1.85 var(--body-font);-webkit-font-smoothing:antialiased;margin:0}a{color:inherit;text-underline-offset:5px;text-decoration-thickness:1px}a:hover{color:var(--blue)}a:focus-visible{outline:3px solid var(--blue);outline-offset:5px;border-radius:2px}::selection{color:var(--ink);background:#cbdcff}img{max-width:100%;height:auto}button,input{font:inherit}h1,h2,h3,p,figure,dl,dd{margin:0}h1,h2,h3{text-wrap:balance;line-height:1.45}h1{letter-spacing:-1px;font-size:clamp(32px,4.8vw,52px)}h2{letter-spacing:-.7px;font-size:32px;font-weight:650}h3{font-size:23px;font-weight:600}ul[role=list],ol[role=list]{margin:0;padding:0;list-style:none}main:focus{outline:none}.site-width,.page-shell{width:min(1120px,100% - 96px);margin-inline:auto}.muted{color:var(--muted)}.skip-link{background:var(--ink);color:#fff;z-index:10;padding:12px 20px;position:fixed;top:-100px;left:20px}.skip-link:focus{top:12px}.site-header{border-bottom:1px solid var(--line);justify-content:space-between;align-items:center;gap:24px;min-height:101px;display:flex}.wordmark{letter-spacing:-.5px;white-space:nowrap;font:700 25px/1.3 Georgia,serif;text-decoration:none}.wordmark-dot{color:var(--blue)}.main-nav{align-items:center;gap:28px;font-size:15px;display:flex}.main-nav a{padding:13px 0;text-decoration:none}.main-nav a[aria-current=page]{color:var(--blue);text-decoration:underline 2px}.actions{flex-wrap:wrap;align-items:center;gap:16px 26px;display:flex}.button{background:var(--blue);color:#fff;border-radius:6px;justify-content:center;align-items:center;min-height:48px;padding:10px 23px;font-size:15px;font-weight:600;text-decoration:none;display:inline-flex}.button:hover{background:var(--blue-deep);color:#fff}.text-link{min-height:44px;color:var(--blue);align-items:center;font-size:15px;text-decoration:underline;display:inline-flex}.hero{grid-template-columns:minmax(0,1fr) 250px;align-items:center;gap:60px;padding-block:79px 84px;display:grid}.hello{color:var(--muted);margin-bottom:18px}.hero h1{letter-spacing:-3.5px;color:var(--blue-deep);white-space:nowrap;font:500 clamp(40px,5.2vw,74px)/1.1 Georgia,serif}.hero-description{margin-top:30px;font-size:clamp(22px,2.3vw,29px);font-weight:550;line-height:1.7}.hero-detail{color:var(--muted);margin-top:18px;font-size:15px;line-height:1.9}.hero .actions{margin-top:30px}.personal-note{background:var(--wash);border-left:3px solid var(--blue);border-radius:4px 24px 24px 4px;padding:27px 27px 20px;transform:rotate(1deg)}.note-title{color:var(--muted);margin-bottom:15px;font-size:14px}.personal-note dl{gap:17px;display:grid}.personal-note dt{color:var(--blue);margin-bottom:3px;font-size:12px}.personal-note dd{font-size:14px;line-height:1.65}.personal-note a{min-height:44px;color:var(--blue);align-items:center;margin-top:13px;font-size:13px;display:inline-flex}.about-section{background:#eef3fb;border-top:1px solid #e4ebf6;border-bottom:1px solid #e4ebf6;padding-block:61px}.about-grid,.writing-grid{grid-template-columns:270px minmax(0,1fr);gap:90px;display:grid}.section-heading>p{color:var(--muted);margin-top:17px;font-size:16px;line-height:1.9}.section-heading .text-link{margin-top:23px}.about-copy>p{max-width:690px}.about-copy>p+p{margin-top:17px}.campus-note{border-left:2px solid #a9bce6;margin-top:28px;padding-left:21px}.campus-note h3{font-size:17px}.campus-note p{color:var(--muted);margin-top:7px;font-size:15px}.projects-section{padding-block:82px 75px}.section-top{justify-content:space-between;align-items:flex-end;gap:25px;margin-bottom:37px;display:flex}.section-top p{color:var(--muted);margin-top:13px;font-size:15px}.section-top>a{flex-shrink:0}.featured-project{grid-template-columns:1.18fr 1fr;align-items:center;gap:44px;display:grid}.project-preview{background:var(--wash);border:1px solid var(--line);border-radius:12px;text-decoration:none;display:block;overflow:hidden;box-shadow:0 12px 30px #183b9108}.preview-address{color:var(--muted);border-bottom:1px solid var(--line);background:#f2f5fa;padding:7px 17px;font-size:11px;display:block}.project-preview img{width:100%;display:block}.project-role{color:var(--muted);margin-bottom:10px;font-size:13px}.featured-copy h3{font:500 39px/1.2 Georgia,serif}.featured-copy h3 a{text-decoration:none}.project-lead{margin-block:14px;font-size:18px;font-weight:550}.featured-copy>p:not(.project-role):not(.project-lead){color:var(--muted);margin-top:11px;font-size:15px}.project-links{flex-wrap:wrap;gap:3px 22px;margin-top:15px;display:flex}.project-links a{min-height:44px;color:var(--blue);align-items:center;font-size:13px;display:inline-flex}.more-projects{grid-template-columns:1fr 1fr;gap:42px;margin-top:43px;display:grid}.compact-project{border-top:1px solid var(--line);min-width:0;padding-top:25px}.compact-project h3{font-size:21px}.compact-project>p:not(.project-role){color:var(--muted);margin-top:13px;font-size:15px}.writing-section{border-block:1px solid var(--line);background:#f0f4fa;padding-block:61px}.recent-post{border-bottom:1px solid var(--line);margin-bottom:24px;padding-bottom:24px}.post-meta{color:var(--muted);flex-wrap:wrap;gap:5px 18px;font-size:13px;line-height:1.7;display:flex}.recent-post h3{margin-top:12px;font-size:25px}.recent-post h3 a,.post-card h3 a{text-decoration:none}.recent-post h3 a:hover,.post-card h3 a:hover{text-decoration:underline}.recent-post p{color:var(--muted);margin-top:10px;font-size:15px}.rss-link{min-height:44px;color:var(--blue);align-items:center;font-size:14px;display:inline-flex}.contact-section{justify-content:space-between;align-items:center;gap:40px;padding-block:74px;display:flex}.contact-section p{color:var(--muted);margin-top:15px;font-size:15px}.contact-details{flex-direction:column;align-items:flex-start;min-width:0;display:flex}.email-link{color:var(--blue-deep);overflow-wrap:anywhere;font:500 clamp(24px,2.9vw,37px)/1.5 Georgia,serif}.contact-details .text-link{margin-top:12px}.site-footer{border-top:1px solid var(--line);justify-content:space-between;align-items:center;gap:25px;padding-block:26px 32px;display:flex}.footer-name{font:700 18px/1.5 Georgia,serif;text-decoration:none}.site-footer p{color:var(--muted);margin-top:5px;font-size:12px}.footer-links{color:var(--muted);flex-wrap:wrap;align-items:center;gap:24px;font-size:12px;display:flex}.footer-links a{align-items:center;min-height:44px;display:inline-flex}.blog-page{max-width:880px;padding-block:66px 80px}.page-heading{margin-bottom:35px}.page-heading h1{margin-bottom:16px}.lede{color:var(--muted);font-size:18px}.blog-heading>.text-link{margin-top:15px}.blog-nav{border-block:1px solid var(--line);flex-wrap:wrap;justify-content:space-between;gap:14px;margin-bottom:44px;padding-block:10px;display:flex}.archive-links,.tag-links{flex-wrap:wrap;gap:4px 20px;display:flex}.archive-links a,.tag-links a{min-height:44px;color:var(--blue);align-items:center;font-size:14px;display:inline-flex}.archive-year{grid-template-columns:110px minmax(0,1fr);gap:30px;margin-bottom:45px;display:grid}.archive-year>h2{color:var(--blue-deep);font:500 32px/1.5 Georgia,serif}.post-list-item+.post-list-item{margin-top:30px}.post-card{border-bottom:1px solid var(--line);padding-bottom:29px}.post-card h3{margin-top:10px;font-size:26px}.post-summary{color:var(--muted);margin-top:11px;font-size:16px}.blog-tags{border-top:1px solid var(--line);margin-top:64px;padding-top:28px}.blog-tags>h2{font-size:23px}.tag-groups{grid-template-columns:repeat(2,minmax(0,1fr));gap:25px;margin-top:20px;display:grid}.tag-group h3{color:var(--muted);margin-bottom:8px;font-size:15px}.tag-post-list a{align-items:center;min-height:44px;font-size:15px;display:inline-flex}.empty-state{color:var(--muted);padding-block:35px}.draft-badge{color:#704b00;background:#fff1ce;border-radius:3px;padding:0 8px;font-size:12px;display:inline-block}.post-page{max-width:1030px;padding-block:50px 80px}.post-heading{border-bottom:1px solid var(--line);max-width:720px;margin:0 auto 42px;padding-bottom:29px}.back-link{min-height:44px;color:var(--muted);align-items:center;margin-bottom:23px;font-size:14px;display:inline-flex}.post-description{margin-block:18px 21px}.post-tags{margin-top:12px!important}.post-layout{max-width:720px;margin-inline:auto}.post-layout.has-toc{grid-template-columns:210px minmax(0,720px);gap:50px;max-width:none;display:grid}.post-toc{border-left:1px solid var(--line);align-self:start;padding-left:18px;font-size:13px;position:sticky;top:26px}.post-toc h2{margin-bottom:12px;font-size:14px}.post-toc a{color:var(--muted);padding-block:7px;text-decoration:none;display:block}.post-toc a:hover{color:var(--blue);text-decoration:underline}.toc-depth-3,.toc-depth-4{padding-left:12px}.prose{overflow-wrap:anywhere;min-width:0;font-size:18px;line-height:1.95}.prose>*+*{margin-top:23px}.prose h2{margin-top:46px;margin-bottom:15px;font-size:27px}.prose h3{margin-top:34px;font-size:22px}.prose a{color:var(--blue)}.prose img{border-radius:6px;height:auto;margin-inline:auto;display:block}.prose ul,.prose ol{padding-left:1.6em}.prose li+li{margin-top:7px}.prose blockquote{color:var(--muted);border-left:3px solid #b3c5eb;margin-left:0;padding:8px 0 8px 23px}.prose :not(pre)>code{background:#edf1f8;border-radius:3px;padding:2px 5px;font-size:.88em}.prose pre{border:1px solid var(--line);border-radius:7px;padding:20px 23px;font-size:14px;line-height:1.8;overflow-x:auto}.prose pre code{font-family:Consolas,Cascadia Code,monospace}.prose .katex-display{padding-block:10px;overflow:auto hidden}.prose table{border-collapse:collapse;font-size:16px;display:block;overflow-x:auto}.prose th,.prose td{border:1px solid var(--line);text-align:left;padding:9px 14px}.prose th{background:var(--wash)}.post-footer{border-top:1px solid var(--line);justify-content:space-between;gap:22px;max-width:720px;margin:56px auto 0;padding-top:22px;display:flex}.post-footer .back-link{margin:0}.not-found{max-width:750px;padding-block:100px 120px}.not-found h1{margin-block:13px 25px}.not-found p{color:var(--muted)}.not-found .actions{margin-top:30px}@media (width<=1050px){.hero{grid-template-columns:minmax(0,1fr) 210px;gap:35px}.hero h1{letter-spacing:-2px;font-size:clamp(38px,5.8vw,65px)}.personal-note{padding:22px}.about-grid,.writing-grid{grid-template-columns:225px minmax(0,1fr);gap:45px}.featured-project{grid-template-columns:1.05fr 1fr;gap:30px}.post-layout.has-toc{grid-template-columns:175px minmax(0,1fr);gap:32px}}@media (width<=760px){body{font-size:16px}.site-width,.page-shell{width:calc(100% - 44px)}.site-header{flex-wrap:wrap;gap:12px;min-height:0;padding-block:21px 14px}.wordmark{font-size:23px}.main-nav{gap:26px;font-size:14px}.main-nav a{padding-block:9px}.hero{grid-template-columns:1fr;gap:32px;padding-block:43px 40px}.hello{margin-bottom:14px;font-size:15px}.hero h1{letter-spacing:-1.8px;font-size:clamp(33px,8.2vw,58px)}.hero-description{margin-top:25px;font-size:23px}.desktop-break{display:none}.hero-detail{margin-top:16px;font-size:14px}.hero .actions{gap:12px 23px;margin-top:24px}.personal-note{display:none}.about-section,.writing-section{padding-block:40px}.about-grid,.writing-grid{grid-template-columns:1fr;gap:22px}h2{font-size:27px}.section-heading>p{margin-top:10px;font-size:14px}.section-heading>p br{display:none}.section-heading .text-link{margin-top:8px}.about-copy>p{font-size:15px}.campus-note{margin-top:23px;padding-left:16px}.campus-note h3{font-size:16px}.campus-note p{font-size:14px}.projects-section{padding-block:45px}.section-top{margin-bottom:24px;display:block}.section-top p{font-size:14px}.section-top>a{margin-top:7px}.featured-project{grid-template-columns:1fr;gap:24px}.featured-copy h3{font-size:34px}.more-projects{grid-template-columns:1fr;gap:26px;margin-top:30px}.compact-project{padding-top:23px}.compact-project h3{font-size:20px}.project-links{gap:0 20px;margin-top:12px}.contact-section{padding-block:44px;display:block}.contact-details{margin-top:24px}.email-link{font-size:28px}.site-footer{flex-direction:column;align-items:flex-start;gap:10px;padding-block:24px}.footer-links{gap:25px}.blog-page{padding-block:38px 55px}.page-heading{margin-bottom:25px}.page-heading h1{font-size:36px}.lede{font-size:16px}.archive-year{grid-template-columns:1fr;gap:18px;margin-bottom:30px}.archive-year>h2{font-size:28px}.blog-nav{margin-bottom:28px}.post-card h3{font-size:24px}.post-summary{font-size:15px}.blog-tags{margin-top:40px}.tag-groups{grid-template-columns:1fr}.post-page{padding-block:26px 50px}.post-heading h1{font-size:32px}.post-heading{margin-bottom:28px}.post-layout.has-toc{flex-direction:column;gap:29px;display:flex}.post-toc{background:var(--wash);border:0;border-radius:6px;width:100%;padding:17px 19px;position:static}.post-toc a{padding-block:6px}.prose{width:100%;font-size:17px}.prose h2{font-size:25px}.prose pre{padding:15px;font-size:13px}.post-footer{margin-top:38px}.not-found{padding-block:60px 90px}}@media (prefers-reduced-motion:reduce){html{scroll-behavior:auto}}@font-face{font-display:block;font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_AMS-Regular.BQhdFMY1.woff2)format("woff2"),url(/_astro/KaTeX_AMS-Regular.DMm9YOAa.woff)format("woff"),url(/_astro/KaTeX_AMS-Regular.DRggAlZN.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url(/_astro/KaTeX_Caligraphic-Bold.Dq_IR9rO.woff2)format("woff2"),url(/_astro/KaTeX_Caligraphic-Bold.BEiXGLvX.woff)format("woff"),url(/_astro/KaTeX_Caligraphic-Bold.ATXxdsX0.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Caligraphic-Regular.Di6jR-x-.woff2)format("woff2"),url(/_astro/KaTeX_Caligraphic-Regular.CTRA-rTL.woff)format("woff"),url(/_astro/KaTeX_Caligraphic-Regular.wX97UBjC.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url(/_astro/KaTeX_Fraktur-Bold.CL6g_b3V.woff2)format("woff2"),url(/_astro/KaTeX_Fraktur-Bold.BsDP51OF.woff)format("woff"),url(/_astro/KaTeX_Fraktur-Bold.BdnERNNW.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Fraktur-Regular.CTYiF6lA.woff2)format("woff2"),url(/_astro/KaTeX_Fraktur-Regular.Dxdc4cR9.woff)format("woff"),url(/_astro/KaTeX_Fraktur-Regular.CB_wures.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:700;src:url(/_astro/KaTeX_Main-Bold.Cx986IdX.woff2)format("woff2"),url(/_astro/KaTeX_Main-Bold.Jm3AIy58.woff)format("woff"),url(/_astro/KaTeX_Main-Bold.waoOVXN0.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url(/_astro/KaTeX_Main-BoldItalic.DxDJ3AOS.woff2)format("woff2"),url(/_astro/KaTeX_Main-BoldItalic.SpSLRI95.woff)format("woff"),url(/_astro/KaTeX_Main-BoldItalic.DzxPMmG6.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url(/_astro/KaTeX_Main-Italic.NWA7e6Wa.woff2)format("woff2"),url(/_astro/KaTeX_Main-Italic.BMLOBm91.woff)format("woff"),url(/_astro/KaTeX_Main-Italic.3WenGoN9.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Main-Regular.B22Nviop.woff2)format("woff2"),url(/_astro/KaTeX_Main-Regular.Dr94JaBh.woff)format("woff"),url(/_astro/KaTeX_Main-Regular.ypZvNtVU.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url(/_astro/KaTeX_Math-BoldItalic.CZnvNsCZ.woff2)format("woff2"),url(/_astro/KaTeX_Math-BoldItalic.iY-2wyZ7.woff)format("woff"),url(/_astro/KaTeX_Math-BoldItalic.B3XSjfu4.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url(/_astro/KaTeX_Math-Italic.t53AETM-.woff2)format("woff2"),url(/_astro/KaTeX_Math-Italic.DA0__PXp.woff)format("woff"),url(/_astro/KaTeX_Math-Italic.flOr_0UB.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:700;src:url(/_astro/KaTeX_SansSerif-Bold.D1sUS0GD.woff2)format("woff2"),url(/_astro/KaTeX_SansSerif-Bold.DbIhKOiC.woff)format("woff"),url(/_astro/KaTeX_SansSerif-Bold.CFMepnvq.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:italic;font-weight:400;src:url(/_astro/KaTeX_SansSerif-Italic.C3H0VqGB.woff2)format("woff2"),url(/_astro/KaTeX_SansSerif-Italic.DN2j7dab.woff)format("woff"),url(/_astro/KaTeX_SansSerif-Italic.YYjJ1zSn.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_SansSerif-Regular.DDBCnlJ7.woff2)format("woff2"),url(/_astro/KaTeX_SansSerif-Regular.CS6fqUqJ.woff)format("woff"),url(/_astro/KaTeX_SansSerif-Regular.BNo7hRIc.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Script-Regular.D3wIWfF6.woff2)format("woff2"),url(/_astro/KaTeX_Script-Regular.D5yQViql.woff)format("woff"),url(/_astro/KaTeX_Script-Regular.C5JkGWo-.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Size1-Regular.mCD8mA8B.woff2)format("woff2"),url(/_astro/KaTeX_Size1-Regular.C195tn64.woff)format("woff"),url(/_astro/KaTeX_Size1-Regular.Dbsnue_I.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size2;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Size2-Regular.Dy4dx90m.woff2)format("woff2"),url(/_astro/KaTeX_Size2-Regular.oD1tc_U0.woff)format("woff"),url(/_astro/KaTeX_Size2-Regular.B7gKUWhC.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size3;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Size3-Regular.gV2CO0n9.woff2)format("woff2"),url(/_astro/KaTeX_Size3-Regular.CTq5MqoE.woff)format("woff"),url(/_astro/KaTeX_Size3-Regular.DgpXs0kz.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Size4-Regular.Dl5lxZxV.woff2)format("woff2"),url(/_astro/KaTeX_Size4-Regular.BF-4gkZK.woff)format("woff"),url(/_astro/KaTeX_Size4-Regular.DWFBv043.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Typewriter-Regular.CO6r4hn1.woff2)format("woff2"),url(/_astro/KaTeX_Typewriter-Regular.C0xS9mPB.woff)format("woff"),url(/_astro/KaTeX_Typewriter-Regular.D3Ib7_Hf.ttf)format("truetype")}.katex{text-indent:0;text-rendering:auto;font:1.21em/1.2 KaTeX_Main,Times New Roman,serif;position:relative}.katex *{border-color:currentColor;-ms-high-contrast-adjust:none!important}.katex .katex-version:after{content:"0.16.47"}.katex .katex-mathml{-webkit-clip-path:inset(50%);clip-path:inset(50%);border:0;width:1px;height:1px;padding:0;position:absolute;overflow:hidden}.katex .katex-html>.newline{display:block}.katex .base{white-space:nowrap;width:min-content;position:relative}.katex .base,.katex .strut{display:inline-block}.katex .textbf{font-weight:700}.katex .textit{font-style:italic}.katex .textrm{font-family:KaTeX_Main}.katex .textsf{font-family:KaTeX_SansSerif}.katex .texttt{font-family:KaTeX_Typewriter}.katex .mathnormal{font-family:KaTeX_Math;font-style:italic}.katex .mathit{font-family:KaTeX_Main;font-style:italic}.katex .mathrm{font-style:normal}.katex .mathbf{font-family:KaTeX_Main;font-weight:700}.katex .boldsymbol{font-family:KaTeX_Math;font-style:italic;font-weight:700}.katex .amsrm,.katex .mathbb,.katex .textbb{font-family:KaTeX_AMS}.katex .mathcal{font-family:KaTeX_Caligraphic}.katex .mathfrak,.katex .textfrak{font-family:KaTeX_Fraktur}.katex .mathboldfrak,.katex .textboldfrak{font-family:KaTeX_Fraktur;font-weight:700}.katex .mathtt{font-family:KaTeX_Typewriter}.katex .mathscr,.katex .textscr{font-family:KaTeX_Script}.katex .mathsf,.katex .textsf{font-family:KaTeX_SansSerif}.katex .mathboldsf,.katex .textboldsf{font-family:KaTeX_SansSerif;font-weight:700}.katex .mathitsf,.katex .mathsfit,.katex .textitsf{font-family:KaTeX_SansSerif;font-style:italic}.katex .mainrm{font-family:KaTeX_Main;font-style:normal}.katex .vlist-t{border-collapse:collapse;table-layout:fixed;display:inline-table}.katex .vlist-r{display:table-row}.katex .vlist{vertical-align:bottom;display:table-cell;position:relative}.katex .vlist>span{height:0;display:block;position:relative}.katex .vlist>span>span{display:inline-block}.katex .vlist>span>.pstrut{width:0;overflow:hidden}.katex .vlist-t2{margin-right:-2px}.katex .vlist-s{vertical-align:bottom;width:2px;min-width:2px;font-size:1px;display:table-cell}.katex .vbox{flex-direction:column;align-items:baseline;display:inline-flex}.katex .hbox{width:100%}.katex .hbox,.katex .thinbox{flex-direction:row;display:inline-flex}.katex .thinbox{width:0;max-width:0}.katex .msupsub{text-align:left}.katex .mfrac>span>span{text-align:center}.katex .mfrac .frac-line{border-bottom-style:solid;width:100%;display:inline-block}.katex .hdashline,.katex .hline,.katex .mfrac .frac-line,.katex .overline .overline-line,.katex .rule,.katex .underline .underline-line{min-height:1px}.katex .mspace{display:inline-block}.katex .smash{line-height:0;display:inline}.katex .clap,.katex .llap,.katex .rlap{width:0;position:relative}.katex .clap>.inner,.katex .llap>.inner,.katex .rlap>.inner{position:absolute}.katex .clap>.fix,.katex .llap>.fix,.katex .rlap>.fix{display:inline-block}.katex .llap>.inner{right:0}.katex .clap>.inner,.katex .rlap>.inner{left:0}.katex .clap>.inner>span{margin-left:-50%;margin-right:50%}.katex .rule{border:0 solid;display:inline-block;position:relative}.katex .hline,.katex .overline .overline-line,.katex .underline .underline-line{border-bottom-style:solid;width:100%;display:inline-block}.katex .hdashline{border-bottom-style:dashed;width:100%;display:inline-block}.katex .sqrt>.root{margin-left:.277778em;margin-right:-.555556em}.katex .fontsize-ensurer.reset-size1.size1,.katex .sizing.reset-size1.size1{font-size:1em}.katex .fontsize-ensurer.reset-size1.size2,.katex .sizing.reset-size1.size2{font-size:1.2em}.katex .fontsize-ensurer.reset-size1.size3,.katex .sizing.reset-size1.size3{font-size:1.4em}.katex .fontsize-ensurer.reset-size1.size4,.katex .sizing.reset-size1.size4{font-size:1.6em}.katex .fontsize-ensurer.reset-size1.size5,.katex .sizing.reset-size1.size5{font-size:1.8em}.katex .fontsize-ensurer.reset-size1.size6,.katex .sizing.reset-size1.size6{font-size:2em}.katex .fontsize-ensurer.reset-size1.size7,.katex .sizing.reset-size1.size7{font-size:2.4em}.katex .fontsize-ensurer.reset-size1.size8,.katex .sizing.reset-size1.size8{font-size:2.88em}.katex .fontsize-ensurer.reset-size1.size9,.katex .sizing.reset-size1.size9{font-size:3.456em}.katex .fontsize-ensurer.reset-size1.size10,.katex .sizing.reset-size1.size10{font-size:4.148em}.katex .fontsize-ensurer.reset-size1.size11,.katex .sizing.reset-size1.size11{font-size:4.976em}.katex .fontsize-ensurer.reset-size2.size1,.katex .sizing.reset-size2.size1{font-size:.833333em}.katex .fontsize-ensurer.reset-size2.size2,.katex .sizing.reset-size2.size2{font-size:1em}.katex .fontsize-ensurer.reset-size2.size3,.katex .sizing.reset-size2.size3{font-size:1.16667em}.katex .fontsize-ensurer.reset-size2.size4,.katex .sizing.reset-size2.size4{font-size:1.33333em}.katex .fontsize-ensurer.reset-size2.size5,.katex .sizing.reset-size2.size5{font-size:1.5em}.katex .fontsize-ensurer.reset-size2.size6,.katex .sizing.reset-size2.size6{font-size:1.66667em}.katex .fontsize-ensurer.reset-size2.size7,.katex .sizing.reset-size2.size7{font-size:2em}.katex .fontsize-ensurer.reset-size2.size8,.katex .sizing.reset-size2.size8{font-size:2.4em}.katex .fontsize-ensurer.reset-size2.size9,.katex .sizing.reset-size2.size9{font-size:2.88em}.katex .fontsize-ensurer.reset-size2.size10,.katex .sizing.reset-size2.size10{font-size:3.45667em}.katex .fontsize-ensurer.reset-size2.size11,.katex .sizing.reset-size2.size11{font-size:4.14667em}.katex .fontsize-ensurer.reset-size3.size1,.katex .sizing.reset-size3.size1{font-size:.714286em}.katex .fontsize-ensurer.reset-size3.size2,.katex .sizing.reset-size3.size2{font-size:.857143em}.katex .fontsize-ensurer.reset-size3.size3,.katex .sizing.reset-size3.size3{font-size:1em}.katex .fontsize-ensurer.reset-size3.size4,.katex .sizing.reset-size3.size4{font-size:1.14286em}.katex .fontsize-ensurer.reset-size3.size5,.katex .sizing.reset-size3.size5{font-size:1.28571em}.katex .fontsize-ensurer.reset-size3.size6,.katex .sizing.reset-size3.size6{font-size:1.42857em}.katex .fontsize-ensurer.reset-size3.size7,.katex .sizing.reset-size3.size7{font-size:1.71429em}.katex .fontsize-ensurer.reset-size3.size8,.katex .sizing.reset-size3.size8{font-size:2.05714em}.katex .fontsize-ensurer.reset-size3.size9,.katex .sizing.reset-size3.size9{font-size:2.46857em}.katex .fontsize-ensurer.reset-size3.size10,.katex .sizing.reset-size3.size10{font-size:2.96286em}.katex .fontsize-ensurer.reset-size3.size11,.katex .sizing.reset-size3.size11{font-size:3.55429em}.katex .fontsize-ensurer.reset-size4.size1,.katex .sizing.reset-size4.size1{font-size:.625em}.katex .fontsize-ensurer.reset-size4.size2,.katex .sizing.reset-size4.size2{font-size:.75em}.katex .fontsize-ensurer.reset-size4.size3,.katex .sizing.reset-size4.size3{font-size:.875em}.katex .fontsize-ensurer.reset-size4.size4,.katex .sizing.reset-size4.size4{font-size:1em}.katex .fontsize-ensurer.reset-size4.size5,.katex .sizing.reset-size4.size5{font-size:1.125em}.katex .fontsize-ensurer.reset-size4.size6,.katex .sizing.reset-size4.size6{font-size:1.25em}.katex .fontsize-ensurer.reset-size4.size7,.katex .sizing.reset-size4.size7{font-size:1.5em}.katex .fontsize-ensurer.reset-size4.size8,.katex .sizing.reset-size4.size8{font-size:1.8em}.katex .fontsize-ensurer.reset-size4.size9,.katex .sizing.reset-size4.size9{font-size:2.16em}.katex .fontsize-ensurer.reset-size4.size10,.katex .sizing.reset-size4.size10{font-size:2.5925em}.katex .fontsize-ensurer.reset-size4.size11,.katex .sizing.reset-size4.size11{font-size:3.11em}.katex .fontsize-ensurer.reset-size5.size1,.katex .sizing.reset-size5.size1{font-size:.555556em}.katex .fontsize-ensurer.reset-size5.size2,.katex .sizing.reset-size5.size2{font-size:.666667em}.katex .fontsize-ensurer.reset-size5.size3,.katex .sizing.reset-size5.size3{font-size:.777778em}.katex .fontsize-ensurer.reset-size5.size4,.katex .sizing.reset-size5.size4{font-size:.888889em}.katex .fontsize-ensurer.reset-size5.size5,.katex .sizing.reset-size5.size5{font-size:1em}.katex .fontsize-ensurer.reset-size5.size6,.katex .sizing.reset-size5.size6{font-size:1.11111em}.katex .fontsize-ensurer.reset-size5.size7,.katex .sizing.reset-size5.size7{font-size:1.33333em}.katex .fontsize-ensurer.reset-size5.size8,.katex .sizing.reset-size5.size8{font-size:1.6em}.katex .fontsize-ensurer.reset-size5.size9,.katex .sizing.reset-size5.size9{font-size:1.92em}.katex .fontsize-ensurer.reset-size5.size10,.katex .sizing.reset-size5.size10{font-size:2.30444em}.katex .fontsize-ensurer.reset-size5.size11,.katex .sizing.reset-size5.size11{font-size:2.76444em}.katex .fontsize-ensurer.reset-size6.size1,.katex .sizing.reset-size6.size1{font-size:.5em}.katex .fontsize-ensurer.reset-size6.size2,.katex .sizing.reset-size6.size2{font-size:.6em}.katex .fontsize-ensurer.reset-size6.size3,.katex .sizing.reset-size6.size3{font-size:.7em}.katex .fontsize-ensurer.reset-size6.size4,.katex .sizing.reset-size6.size4{font-size:.8em}.katex .fontsize-ensurer.reset-size6.size5,.katex .sizing.reset-size6.size5{font-size:.9em}.katex .fontsize-ensurer.reset-size6.size6,.katex .sizing.reset-size6.size6{font-size:1em}.katex .fontsize-ensurer.reset-size6.size7,.katex .sizing.reset-size6.size7{font-size:1.2em}.katex .fontsize-ensurer.reset-size6.size8,.katex .sizing.reset-size6.size8{font-size:1.44em}.katex .fontsize-ensurer.reset-size6.size9,.katex .sizing.reset-size6.size9{font-size:1.728em}.katex .fontsize-ensurer.reset-size6.size10,.katex .sizing.reset-size6.size10{font-size:2.074em}.katex .fontsize-ensurer.reset-size6.size11,.katex .sizing.reset-size6.size11{font-size:2.488em}.katex .fontsize-ensurer.reset-size7.size1,.katex .sizing.reset-size7.size1{font-size:.416667em}.katex .fontsize-ensurer.reset-size7.size2,.katex .sizing.reset-size7.size2{font-size:.5em}.katex .fontsize-ensurer.reset-size7.size3,.katex .sizing.reset-size7.size3{font-size:.583333em}.katex .fontsize-ensurer.reset-size7.size4,.katex .sizing.reset-size7.size4{font-size:.666667em}.katex .fontsize-ensurer.reset-size7.size5,.katex .sizing.reset-size7.size5{font-size:.75em}.katex .fontsize-ensurer.reset-size7.size6,.katex .sizing.reset-size7.size6{font-size:.833333em}.katex .fontsize-ensurer.reset-size7.size7,.katex .sizing.reset-size7.size7{font-size:1em}.katex .fontsize-ensurer.reset-size7.size8,.katex .sizing.reset-size7.size8{font-size:1.2em}.katex .fontsize-ensurer.reset-size7.size9,.katex .sizing.reset-size7.size9{font-size:1.44em}.katex .fontsize-ensurer.reset-size7.size10,.katex .sizing.reset-size7.size10{font-size:1.72833em}.katex .fontsize-ensurer.reset-size7.size11,.katex .sizing.reset-size7.size11{font-size:2.07333em}.katex .fontsize-ensurer.reset-size8.size1,.katex .sizing.reset-size8.size1{font-size:.347222em}.katex .fontsize-ensurer.reset-size8.size2,.katex .sizing.reset-size8.size2{font-size:.416667em}.katex .fontsize-ensurer.reset-size8.size3,.katex .sizing.reset-size8.size3{font-size:.486111em}.katex .fontsize-ensurer.reset-size8.size4,.katex .sizing.reset-size8.size4{font-size:.555556em}.katex .fontsize-ensurer.reset-size8.size5,.katex .sizing.reset-size8.size5{font-size:.625em}.katex .fontsize-ensurer.reset-size8.size6,.katex .sizing.reset-size8.size6{font-size:.694444em}.katex .fontsize-ensurer.reset-size8.size7,.katex .sizing.reset-size8.size7{font-size:.833333em}.katex .fontsize-ensurer.reset-size8.size8,.katex .sizing.reset-size8.size8{font-size:1em}.katex .fontsize-ensurer.reset-size8.size9,.katex .sizing.reset-size8.size9{font-size:1.2em}.katex .fontsize-ensurer.reset-size8.size10,.katex .sizing.reset-size8.size10{font-size:1.44028em}.katex .fontsize-ensurer.reset-size8.size11,.katex .sizing.reset-size8.size11{font-size:1.72778em}.katex .fontsize-ensurer.reset-size9.size1,.katex .sizing.reset-size9.size1{font-size:.289352em}.katex .fontsize-ensurer.reset-size9.size2,.katex .sizing.reset-size9.size2{font-size:.347222em}.katex .fontsize-ensurer.reset-size9.size3,.katex .sizing.reset-size9.size3{font-size:.405093em}.katex .fontsize-ensurer.reset-size9.size4,.katex .sizing.reset-size9.size4{font-size:.462963em}.katex .fontsize-ensurer.reset-size9.size5,.katex .sizing.reset-size9.size5{font-size:.520833em}.katex .fontsize-ensurer.reset-size9.size6,.katex .sizing.reset-size9.size6{font-size:.578704em}.katex .fontsize-ensurer.reset-size9.size7,.katex .sizing.reset-size9.size7{font-size:.694444em}.katex .fontsize-ensurer.reset-size9.size8,.katex .sizing.reset-size9.size8{font-size:.833333em}.katex .fontsize-ensurer.reset-size9.size9,.katex .sizing.reset-size9.size9{font-size:1em}.katex .fontsize-ensurer.reset-size9.size10,.katex .sizing.reset-size9.size10{font-size:1.20023em}.katex .fontsize-ensurer.reset-size9.size11,.katex .sizing.reset-size9.size11{font-size:1.43981em}.katex .fontsize-ensurer.reset-size10.size1,.katex .sizing.reset-size10.size1{font-size:.24108em}.katex .fontsize-ensurer.reset-size10.size2,.katex .sizing.reset-size10.size2{font-size:.289296em}.katex .fontsize-ensurer.reset-size10.size3,.katex .sizing.reset-size10.size3{font-size:.337512em}.katex .fontsize-ensurer.reset-size10.size4,.katex .sizing.reset-size10.size4{font-size:.385728em}.katex .fontsize-ensurer.reset-size10.size5,.katex .sizing.reset-size10.size5{font-size:.433944em}.katex .fontsize-ensurer.reset-size10.size6,.katex .sizing.reset-size10.size6{font-size:.48216em}.katex .fontsize-ensurer.reset-size10.size7,.katex .sizing.reset-size10.size7{font-size:.578592em}.katex .fontsize-ensurer.reset-size10.size8,.katex .sizing.reset-size10.size8{font-size:.694311em}.katex .fontsize-ensurer.reset-size10.size9,.katex .sizing.reset-size10.size9{font-size:.833173em}.katex .fontsize-ensurer.reset-size10.size10,.katex .sizing.reset-size10.size10{font-size:1em}.katex .fontsize-ensurer.reset-size10.size11,.katex .sizing.reset-size10.size11{font-size:1.19961em}.katex .fontsize-ensurer.reset-size11.size1,.katex .sizing.reset-size11.size1{font-size:.200965em}.katex .fontsize-ensurer.reset-size11.size2,.katex .sizing.reset-size11.size2{font-size:.241158em}.katex .fontsize-ensurer.reset-size11.size3,.katex .sizing.reset-size11.size3{font-size:.281351em}.katex .fontsize-ensurer.reset-size11.size4,.katex .sizing.reset-size11.size4{font-size:.321543em}.katex .fontsize-ensurer.reset-size11.size5,.katex .sizing.reset-size11.size5{font-size:.361736em}.katex .fontsize-ensurer.reset-size11.size6,.katex .sizing.reset-size11.size6{font-size:.401929em}.katex .fontsize-ensurer.reset-size11.size7,.katex .sizing.reset-size11.size7{font-size:.482315em}.katex .fontsize-ensurer.reset-size11.size8,.katex .sizing.reset-size11.size8{font-size:.578778em}.katex .fontsize-ensurer.reset-size11.size9,.katex .sizing.reset-size11.size9{font-size:.694534em}.katex .fontsize-ensurer.reset-size11.size10,.katex .sizing.reset-size11.size10{font-size:.833601em}.katex .fontsize-ensurer.reset-size11.size11,.katex .sizing.reset-size11.size11{font-size:1em}.katex .delimsizing.size1{font-family:KaTeX_Size1}.katex .delimsizing.size2{font-family:KaTeX_Size2}.katex .delimsizing.size3{font-family:KaTeX_Size3}.katex .delimsizing.size4{font-family:KaTeX_Size4}.katex .delimsizing.mult .delim-size1>span{font-family:KaTeX_Size1}.katex .delimsizing.mult .delim-size4>span{font-family:KaTeX_Size4}.katex .nulldelimiter{width:.12em;display:inline-block}.katex .delimcenter,.katex .op-symbol{position:relative}.katex .op-symbol.small-op{font-family:KaTeX_Size1}.katex .op-symbol.large-op{font-family:KaTeX_Size2}.katex .accent>.vlist-t,.katex .op-limits>.vlist-t{text-align:center}.katex .accent .accent-body{position:relative}.katex .accent .accent-body:not(.accent-full){width:0}.katex .overlay{display:block}.katex .mtable .vertical-separator{min-width:1px;display:inline-block}.katex .mtable .arraycolsep{display:inline-block}.katex .mtable .col-align-c>.vlist-t{text-align:center}.katex .mtable .col-align-l>.vlist-t{text-align:left}.katex .mtable .col-align-r>.vlist-t{text-align:right}.katex .svg-align{text-align:left}.katex svg{fill:currentColor;stroke:currentColor;height:inherit;width:100%;display:block;position:absolute}.katex svg path{stroke:none}.katex svg{fill-rule:nonzero;fill-opacity:1;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1}.katex img{border-style:none;min-width:0;max-width:none;min-height:0;max-height:none}.katex .stretchy{width:100%;display:block;position:relative;overflow:hidden}.katex .stretchy:after,.katex .stretchy:before{content:""}.katex .hide-tail{width:100%;position:relative;overflow:hidden}.katex .halfarrow-left{width:50.2%;position:absolute;left:0;overflow:hidden}.katex .halfarrow-right{width:50.2%;position:absolute;right:0;overflow:hidden}.katex .brace-left{width:25.1%;position:absolute;left:0;overflow:hidden}.katex .brace-center{width:50%;position:absolute;left:25%;overflow:hidden}.katex .brace-right{width:25.1%;position:absolute;right:0;overflow:hidden}.katex .x-arrow-pad{padding:0 .5em}.katex .cd-arrow-pad{padding:0 .55556em 0 .27778em}.katex .mover,.katex .munder,.katex .x-arrow{text-align:center}.katex .boxpad{padding:0 .3em}.katex .fbox,.katex .fcolorbox{box-sizing:border-box;border:.04em solid}.katex .cancel-pad{padding:0 .2em}.katex .cancel-lap{margin-left:-.2em;margin-right:-.2em}.katex .sout{border-bottom-style:solid;border-bottom-width:.08em}.katex .angl{box-sizing:border-box;border-top:.049em solid;border-right:.049em solid;margin-right:.03889em}.katex .anglpad{padding:0 .03889em}.katex .eqn-num:before{content:"(" counter(katexEqnNo) ")";counter-increment:katexEqnNo}.katex .mml-eqn-num:before{content:"(" counter(mmlEqnNo) ")";counter-increment:mmlEqnNo}.katex .mtr-glue{width:50%}.katex .cd-vert-arrow{display:inline-block;position:relative}.katex .cd-label-left{text-align:left;display:inline-block;position:absolute;right:calc(50% + .3em)}.katex .cd-label-right{text-align:right;display:inline-block;position:absolute;left:calc(50% + .3em)}.katex-display{text-align:center;margin:1em 0;display:block}.katex-display>.katex{text-align:center;white-space:nowrap;display:block}.katex-display>.katex>.katex-html{display:block;position:relative}.katex-display>.katex>.katex-html>.tag{position:absolute;right:0}.katex-display.leqno>.katex>.katex-html>.tag{left:0;right:auto}.katex-display.fleqn>.katex{text-align:left;padding-left:2em}body{counter-reset:katexEqnNo mmlEqnNo}